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3 years ago

Expressions that equal 102

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Answer:

208 divided by 2

100+2

402-300

Step-by-step explanation:

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Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

3 years ago

Robert has three jobs. He worked at young's grocery and earned $5,804. He was a waiter at the A & B restaurant and earned $1

egoroff_w [7]

Answer:

Robert had to pay $ 4,603.53 to social security.

Step-by-step explanation:

To determine the amount Robert paid to social security, knowing that he has three jobs, one at young's grocery where he earned $ 5,804, another as a waiter at the A & B restaurant where he earned $ 12,445, and another where he earned $ 56,002 working for a CCD communications, and also knowing that you pay 6.2% of your income to social security, the following calculation must be performed:

(5,804 + 12,445 + 56,002) x 0.062 = X

74,251 x 0.062 = X

4,603.53 = X

Thus, Robert had to pay $ 4,603.53 to social security.

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3 years ago

Of the 150 students interviewed, 50 applied for the computer major,60 for math and 40 for Physics.14 applied for Computer and Ma

scZoUnD [109]

Answer:

Step-by-step explanation:

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3 years ago

What is the area of the triangle?

Doss [256]

Answer:

4.5

Step-by-step explanation:

3*3=9

9/2=4.5

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Roman55 [17]

Answer:

1=3

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4=8

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